48269813760 has 768 divisors, whose sum is σ = 200491200000. Its totient is φ = 11011424256.

The previous prime is 48269813741. The next prime is 48269813789. The reversal of 48269813760 is 6731896284.

48269813760 is a `hidden beast` number, since 4 + 8 + 269 + 8 + 1 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48269813697 and 48269813706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94832386 + ... + 94832894.

It is an arithmetic number, because the mean of its divisors is an integer number (261056250).

Almost surely, 2^48269813760 is an apocalyptic number.

48269813760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48269813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600000).

48269813760 is an abundant number, since it is smaller than the sum of its proper divisors (152221386240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48269813760 is an equidigital number, since it uses as much as digits as its factorization.

48269813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48269813760 in words is "forty-eight billion, two hundred sixty-nine million, eight hundred thirteen thousand, seven hundred sixty".